Topics in Numerical Analysis for Differential Equations 
ICMAT, Madrid 
 July 8-12, 2013 


 Instituto de Ciencias Matemáticas
C/ Nicolás Cabrera, 13-15
  Campus Cantoblanco - UAM
  28049 Madrid, Spain
  Telephone: +34 91 2999700

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Differential equations play an important role in applied mathematics. They appear in many facets in different fields, e.g. chemical reaction kinetics, molecular dynamics, electronic circuits, population dynamics, finance. However, very often finding closed solutions of differential equations is either simply impossible, or very difficult and beyond nowadays mathematical reach. Moreover, it turns out that known solutions oftentimes are very hard to compute, even in the context of today's abounding computer power. Therefore, the art of computing or approximating solutions of differential equations, partial as well as ordinary, linear or non-linear, is of particular importance in all mathematical sciences.

The meeting aims at bringing together leading experts working in numerical analysis of differential equations and related areas. It is composed of five sessions. Each session of the workshop is organized around a specific topic which has attracted a great deal of current research. The background and current status of each field is introduced in a plenary talk by a leading expert. The list of topics includes the followings fields and plenary speakers:

 • Geometric Numerical Integration - Jesús Sanz-Serna (Valladolid)

 • Highly Oscillatory Problems - Arieh Iserles (Cambridge)

 • Splitting Methods and Time Integration of PDEs - Christian Lubich (Tübingen)

 • Discrete Mechanics and Control Theory - David Martín de Diego (ICMAT-CSIC)

 • Algebraic Structures in Numerical Integration - Hans Munthe-Kaas (Bergen)

Each session includes several research talks, where recent progress in the field is reported. In addition, discussion roundtables will take place in the afternoons, which are of specific importance, as they shall give researchers from all subjects a platform to discuss common problems, current open questions, as well as future perspectives of each subject.

  • Sergio Blanes
    (Univ. Polyt. de Valencia)
 Fernando Casas
    (Univ. Jaume I, Castellon)
 Alfredo Deaño
    (Univ. Carlos III de Madrid)
 Kurusch Ebrahimi-Fard
    (ICMAT-CSIC, Madrid)
Ander Murua
(Univ. del Pais Vasco)

 Scientific Committee
  • Arieh Iserles
 Christian Lubich
 David Martín de Diego
 Hans Munthe-Kaas 
 Jesús Sanz-Serna

  Participants   Programme 
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